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    Trigonometry Word Problems

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    1. A recent land survey was conducted on a vacant lot where a commercial building is to be erected. The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams are 6.5 feet high. The distance between the front and back beams is 8 feet. At what angle will the roof lay on the front beam?

    2. A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole. Express the angle of inclination as a function of d.

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    Solution Preview

    Please see attached file.

    From the figure, let AC be the front beam, which is 8 feet high and ED be the
    back beam whose height is 6.5 feet. Let CD is the distance between the two beams
    which is 8 feet.
    Now, join BE such ...

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